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Spin symmetry and spin current of helicity eigenstates of the Luttinger Hamiltonian

2004/07/27 by Xindong Wang, X. -G. Zhang
Physics and Astronomy · #cond-mat.mtrl-sci #cond-mat.mes-hall

paper · pdf · doi:10.1016/j.jmmm.2004.09.109

published as JMMM Vol 288C pp 297-300 (2005)

arxiv created 2004/07/27 · arxiv updated 2009/12/01

Abstract

A general spin symmetry argument is proposed for spin currents in semiconductors. In particular, due to the symmetry with respect to spin polarization of the helicity eigenstates of the Luttinger Hamiltonian for a hole-doped semiconductor, the spin polarized flux from a single helicity eigenstate induced by an external electric field, is canceled exactly when all such contributions from eigenstates that are degenerate in energy are summed. Thus, the net spin current predicted by Murakami et al, Science 301, 1348 (2003), cannot be produced by such a Hamiltonian. Possible symmetry breaking mechanisms which may generate a spin current are discussed.

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